Atkin-Lehner |
2- 3- 7+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838u |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1295360 |
Modular degree for the optimal curve |
Δ |
-162712468762298784 = -1 · 25 · 317 · 74 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41989,-19133301] |
[a1,a2,a3,a4,a6] |
j |
11230846087142807/223199545627296 |
j-invariant |
L |
6.2823777600964 |
L(r)(E,1)/r! |
Ω |
0.15705944952245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29946d1 |
Quadratic twists by: -3 |